Mathematical Reflections by Peter Hilton
A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both pure and applied mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.-
Linear Algebra Done Right
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Understanding Analysis
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Introduction to Analytic Number Theory
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Naive Set Theory
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Real Analysis
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Rational Points on Elliptic Curves
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Applied Linear Algebra
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Mathematics and Its History
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Elementary Analysis
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A First Course in Differential Equations
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Second Year Calculus
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Linear Algebra
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A First Course in Real Analysis
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Real Mathematical Analysis
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Introduction to Coding and Information Theory
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Calculus I
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Ordinary Differential Equations
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Multivariable Calculus with Applications
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Complex Analysis
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Introduction to Linear Algebra
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Groups and Symmetry
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Ideals, Varieties, and Algorithms
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Real Analysis via Sequences and Series
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Modular Functions and Dirichlet Series in Number Theory
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A Combinatorics and Graph Theory
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Elementary Probability Theory
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The Art of Proof
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An Introduction to Mathematical Cryptography
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The Mathematics of Nonlinear Programming
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Introduction to Partial Differential Equations
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A Concrete Introduction to Higher Algebra
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The Pleasures of Probability
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Topics in the Theory of Numbers
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The Four Pillars of Geometry
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Discrete Mathematics
| SKU | Unavailable |
| ISBN 13 | 9780387947709 |
| ISBN 10 | 0387947701 |
| Title | Mathematical Reflections |
| Author | Peter Hilton |
| Series | Undergraduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1996-12-13 |
| Number of pages | 352 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |